ROOT 6.08/07 Reference Guide |
The F O R M U L A class.
This is a new version of the TFormula class based on Cling. This class is not 100% backward compatible with the old TFOrmula class, which is still available in ROOT as ROOT::v5::TFormula
. Some of the TFormula member funtions available in version 5, such as Analyze
and AnalyzeFunction
are not available in the new TFormula. On the other hand formula expressions which were valid in version 5 are still valid in TFormula version 6
This class has been implemented during Google Summer of Code 2013 by Maciej Zimnoch.
sin(x)/x
[0]*sin(x) + [1]*exp(-[2]*x)
x + y**2
x^2 + y^2
[0]*pow([1],4)
2*pi*sqrt(x/y)
gaus(0)*expo(3) + ypol3(5)*x
gausn(0)*expo(3) + ypol3(5)*x
In the last example above:
gaus(0)
is a substitute for [0]*exp(-0.5*((x-[1])/[2])**2)
and (0) means start numbering parameters at 0 gausn(0)
is a substitute for [0]*exp(-0.5*((x-[1])/[2])**2)/(sqrt(2*pi)*[2]))
and (0) means start numbering parameters at 0 expo(3)
is a substitute for exp([3]+[4]*x
pol3(5)
is a substitute for par[5]+par[6]*x+par[7]*x**2+par[8]*x**3
(PolN
stands for Polynomial of degree N) TMath
functions can be part of the expression, eg:
TMath::Landau(x)*sin(x)
TMath::Erf(x)
Formula may contain constans, eg:
sqrt2
e
pi
ln10
infinity
and more.
Comparisons operators are also supported (&&, ||, ==, <=, >=, !)
Examples:
`sin(x*(x<0.5 || x>1))`
If the result of a comparison is TRUE, the result is 1, otherwise 0.
Already predefined names can be given. For example, if the formula
`TFormula old("old",sin(x*(x<0.5 || x>1)))`
one can assign a name to the formula. By default the name of the object = title = formula itself.
`TFormula new("new","x*old")`
is equivalent to:
`TFormula new("new","x*sin(x*(x<0.5 || x>1))")`
The class supports unlimited numer of variables and parameters. By default the names which can be used for the variables are x,y,z,t
or x[0],x[1],x[2],x[3],....x[N]
for N-dimensionals formula.
This class is not anymore the base class for the function classes TF1
, but it has now adata member of TF1 which can be access via TF1::GetFormula
.
Definition at line 89 of file TFormula.h.
Public Types | |
enum | { kNotGlobal = BIT(10), kNormalized = BIT(14), kLinear = BIT(16), kLambda = BIT(17) } |
Public Types inherited from TObject | |
enum | { kIsOnHeap = 0x01000000, kNotDeleted = 0x02000000, kZombie = 0x04000000, kBitMask = 0x00ffffff } |
enum | { kSingleKey = BIT(0), kOverwrite = BIT(1), kWriteDelete = BIT(2) } |
enum | EStatusBits { kCanDelete = BIT(0), kMustCleanup = BIT(3), kObjInCanvas = BIT(3), kIsReferenced = BIT(4), kHasUUID = BIT(5), kCannotPick = BIT(6), kNoContextMenu = BIT(8), kInvalidObject = BIT(13) } |
Public Member Functions | |
TFormula () | |
TFormula (const char *name, const char *formula="", bool addToGlobList=true) | |
TFormula (const char *name, const char *formula, int ndim, int npar, bool addToGlobList=true) | |
constructor from a full compileable C++ expression More... | |
TFormula (const TFormula &formula) | |
virtual | ~TFormula () |
void | AddParameter (const TString &name, Double_t value=0) |
void | AddVariable (const TString &name, Double_t value=0) |
void | AddVariables (const TString *vars, const Int_t size) |
virtual void | Clear (Option_t *option="") |
Set name and title to empty strings (""). More... | |
Int_t | Compile (const char *expression="") |
virtual void | Copy (TObject &f1) const |
Copy this to obj. More... | |
Double_t | Eval (Double_t x) const |
Double_t | Eval (Double_t x, Double_t y) const |
Double_t | Eval (Double_t x, Double_t y, Double_t z) const |
Double_t | Eval (Double_t x, Double_t y, Double_t z, Double_t t) const |
Double_t | EvalPar (const Double_t *x, const Double_t *params=0) const |
TString | GetExpFormula (Option_t *option="") const |
return the expression formula If option = "P" replace the parameter names with their values If option = "CLING" return the actual expression used to build the function passed to cling If option = "CLINGP" replace in the CLING expression the parameter with their values More... | |
const TObject * | GetLinearPart (Int_t i) const |
Int_t | GetNdim () const |
Int_t | GetNpar () const |
Int_t | GetNumber () const |
Double_t | GetParameter (const char *name) const |
Double_t | GetParameter (Int_t param) const |
Double_t * | GetParameters () const |
void | GetParameters (Double_t *params) const |
const char * | GetParName (Int_t ipar) const |
Int_t | GetParNumber (const char *name) const |
Double_t | GetVariable (const char *name) const |
TString | GetVarName (Int_t ivar) const |
Int_t | GetVarNumber (const char *name) const |
Bool_t | IsLinear () const |
Bool_t | IsValid () const |
TFormula & | operator= (const TFormula &rhs) |
void | Print (Option_t *option="") const |
print the formula and its attributes More... | |
void | SetName (const char *name) |
Set the name of the TNamed. More... | |
void | SetParameter (const char *name, Double_t value) |
void | SetParameter (Int_t param, Double_t value) |
void | SetParameters (const Double_t *params) |
void | SetParameters (Double_t p0, Double_t p1, Double_t p2=0, Double_t p3=0, Double_t p4=0, Double_t p5=0, Double_t p6=0, Double_t p7=0, Double_t p8=0, Double_t p9=0, Double_t p10=0) |
void | SetParName (Int_t ipar, const char *name) |
void | SetParNames (const char *name0="p0", const char *name1="p1", const char *name2="p2", const char *name3="p3", const char *name4="p4", const char *name5="p5", const char *name6="p6", const char *name7="p7", const char *name8="p8", const char *name9="p9", const char *name10="p10") |
void | SetVariable (const TString &name, Double_t value) |
void | SetVariables (const std::pair< TString, Double_t > *vars, const Int_t size) |
Public Member Functions inherited from TNamed | |
TNamed () | |
TNamed (const char *name, const char *title) | |
TNamed (const TString &name, const TString &title) | |
TNamed (const TNamed &named) | |
TNamed copy ctor. More... | |
virtual | ~TNamed () |
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 | 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 | 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... | |
virtual const char * | ClassName () const |
Returns name of class to which the object belongs. 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 pad. 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 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 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 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... | |
Bool_t | IsOnHeap () const |
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). 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 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, Bool_t set) |
Set or unset the user status bits as specified in f. More... | |
void | SetBit (UInt_t f) |
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... | |
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 | |
void | DoAddParameter (const TString &name, Double_t value, bool processFormula) |
Double_t | DoEval (const Double_t *x, const Double_t *p=nullptr) const |
void | DoSetParameters (const Double_t *p, Int_t size) |
void | ExtractFunctors (TString &formula) |
Bool_t | PrepareFormula (TString &formula) |
void | PreProcessFormula (TString &formula) |
void | ProcessFormula (TString &formula) |
void | ReplaceParamName (TString &formula, const TString &oldname, const TString &name) |
void | SetPredefinedParamNames () |
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 () |
Static Protected Member Functions | |
static Bool_t | IsBracket (const char c) |
static Bool_t | IsFunctionNameChar (const char c) |
static Bool_t | IsHexadecimal (const TString &formula, int ipos) |
static Bool_t | IsOperator (const char c) |
static Bool_t | IsScientificNotation (const TString &formula, int ipos) |
Protected Attributes | |
std::map< TString, Double_t > | fConsts |
TString | fFormula |
std::list< TFormulaFunction > | fFuncs |
std::map< TString, TString > | fFunctionsShortcuts |
std::vector< TObject * > | fLinearParts |
Int_t | fNdim |
Int_t | fNpar |
Int_t | fNumber |
std::map< TString, Int_t, TFormulaParamOrder > | fParams |
list of variable names More... | |
std::map< TString, TFormulaVariable > | fVars |
Protected Attributes inherited from TNamed | |
TString | fName |
TString | fTitle |
Private Member Functions | |
void | FillDefaults () |
void | HandleExponentiation (TString &formula) |
void | HandleLinear (TString &formula) |
void | HandleParametrizedFunctions (TString &formula) |
void | HandlePolN (TString &formula) |
Bool_t | InitLambdaExpression (const char *formula) |
void | InputFormulaIntoCling () |
pointer to the lambda function More... | |
Bool_t | PrepareEvalMethod () |
Static Private Member Functions | |
static Bool_t | IsDefaultVariableName (const TString &name) |
Private Attributes | |
Bool_t | fAllParametersSetted |
transient to force re-initialization More... | |
Bool_t | fClingInitialized |
trasient to force initialization More... | |
TString | fClingInput |
TString | fClingName |
pointer to methocall More... | |
std::vector< Double_t > | fClingParameters |
cached variables More... | |
std::vector< Double_t > | fClingVariables |
input function passed to Cling More... | |
TInterpreter::CallFuncIFacePtr_t::Generic_t | fFuncPtr |
unique name passed to Cling to define the function ( double clingName(double*x, double*p) ) More... | |
void * | fLambdaPtr |
function pointer More... | |
TMethodCall * | fMethod |
Bool_t | fReadyToExecute |
Additional Inherited Members | |
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 "inc/TFormula.h"
anonymous enum |
Enumerator | |
---|---|
kNotGlobal | |
kNormalized | |
kLinear | |
kLambda |
Definition at line 147 of file TFormula.h.
TFormula::TFormula | ( | ) |
Definition at line 246 of file TFormula.cxx.
|
virtual |
Definition at line 274 of file TFormula.cxx.
TFormula::TFormula | ( | const char * | name, |
const char * | formula = "" , |
||
bool | addToGlobList = true |
||
) |
Definition at line 294 of file TFormula.cxx.
TFormula::TFormula | ( | const char * | name, |
const char * | formula, | ||
int | ndim, | ||
int | npar, | ||
bool | addToGlobList = true |
||
) |
constructor from a full compileable C++ expression
Definition at line 335 of file TFormula.cxx.
TFormula::TFormula | ( | const TFormula & | formula | ) |
Definition at line 379 of file TFormula.cxx.
Definition at line 161 of file TFormula.h.
Definition at line 2013 of file TFormula.cxx.
Definition at line 2048 of file TFormula.cxx.
Set name and title to empty strings ("").
Reimplemented from TNamed.
Definition at line 593 of file TFormula.cxx.
Int_t TFormula::Compile | ( | const char * | expression = "" | ) |
Definition at line 481 of file TFormula.cxx.
|
protected |
Definition at line 2200 of file TFormula.cxx.
Definition at line 2578 of file TFormula.cxx.
Definition at line 2415 of file TFormula.cxx.
Definition at line 2569 of file TFormula.cxx.
Definition at line 2561 of file TFormula.cxx.
Definition at line 2553 of file TFormula.cxx.
Definition at line 2545 of file TFormula.cxx.
Definition at line 2540 of file TFormula.cxx.
Definition at line 1362 of file TFormula.cxx.
|
private |
Definition at line 692 of file TFormula.cxx.
return the expression formula If option = "P" replace the parameter names with their values If option = "CLING" return the actual expression used to build the function passed to cling If option = "CLINGP" replace in the CLING expression the parameter with their values
Definition at line 2641 of file TFormula.cxx.
Definition at line 1999 of file TFormula.cxx.
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inline |
Definition at line 174 of file TFormula.h.
|
inline |
Definition at line 175 of file TFormula.h.
|
inline |
Definition at line 176 of file TFormula.h.
Double_t TFormula::GetParameter | ( | const char * | name | ) | const |
Definition at line 2294 of file TFormula.cxx.
Definition at line 2307 of file TFormula.cxx.
Double_t * TFormula::GetParameters | ( | ) | const |
Definition at line 2334 of file TFormula.cxx.
Definition at line 2341 of file TFormula.cxx.
const char * TFormula::GetParName | ( | Int_t | ipar | ) | const |
Definition at line 2319 of file TFormula.cxx.
Int_t TFormula::GetParNumber | ( | const char * | name | ) | const |
Definition at line 2282 of file TFormula.cxx.
Double_t TFormula::GetVariable | ( | const char * | name | ) | const |
Definition at line 2142 of file TFormula.cxx.
Definition at line 2169 of file TFormula.cxx.
Int_t TFormula::GetVarNumber | ( | const char * | name | ) | const |
Definition at line 2155 of file TFormula.cxx.
Definition at line 1161 of file TFormula.cxx.
Definition at line 1261 of file TFormula.cxx.
Definition at line 891 of file TFormula.cxx.
Definition at line 790 of file TFormula.cxx.
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private |
Definition at line 444 of file TFormula.cxx.
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private |
pointer to the lambda function
Definition at line 681 of file TFormula.cxx.
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staticprotected |
Definition at line 162 of file TFormula.cxx.
Definition at line 177 of file TFormula.cxx.
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staticprotected |
Definition at line 172 of file TFormula.cxx.
Definition at line 194 of file TFormula.cxx.
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inline |
Definition at line 187 of file TFormula.h.
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staticprotected |
Definition at line 151 of file TFormula.cxx.
Definition at line 183 of file TFormula.cxx.
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inline |
Definition at line 186 of file TFormula.h.
Definition at line 432 of file TFormula.cxx.
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private |
Definition at line 625 of file TFormula.cxx.
Definition at line 1331 of file TFormula.cxx.
Definition at line 1309 of file TFormula.cxx.
print the formula and its attributes
Reimplemented from TNamed.
Definition at line 2713 of file TFormula.cxx.
Definition at line 1580 of file TFormula.cxx.
|
protected |
Definition at line 2512 of file TFormula.cxx.
|
virtual |
Set the name of the TNamed.
WARNING: if the object is a member of a THashTable or THashList container the container must be Rehash()'ed after SetName(). For example the list of objects in the current directory is a THashList.
Reimplemented from TNamed.
Definition at line 2096 of file TFormula.cxx.
Definition at line 2352 of file TFormula.cxx.
Definition at line 2458 of file TFormula.cxx.
Definition at line 2432 of file TFormula.cxx.
void TFormula::SetParameters | ( | Double_t | p0, |
Double_t | p1, | ||
Double_t | p2 = 0 , |
||
Double_t | p3 = 0 , |
||
Double_t | p4 = 0 , |
||
Double_t | p5 = 0 , |
||
Double_t | p6 = 0 , |
||
Double_t | p7 = 0 , |
||
Double_t | p8 = 0 , |
||
Double_t | p9 = 0 , |
||
Double_t | p10 = 0 |
||
) |
Definition at line 2439 of file TFormula.cxx.
Definition at line 2485 of file TFormula.cxx.
void TFormula::SetParNames | ( | const char * | name0 = "p0" , |
const char * | name1 = "p1" , |
||
const char * | name2 = "p2" , |
||
const char * | name3 = "p3" , |
||
const char * | name4 = "p4" , |
||
const char * | name5 = "p5" , |
||
const char * | name6 = "p6" , |
||
const char * | name7 = "p7" , |
||
const char * | name8 = "p8" , |
||
const char * | name9 = "p9" , |
||
const char * | name10 = "p10" |
||
) |
Definition at line 2469 of file TFormula.cxx.
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protected |
Definition at line 1930 of file TFormula.cxx.
Definition at line 2186 of file TFormula.cxx.
Definition at line 2118 of file TFormula.cxx.
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private |
transient to force re-initialization
Definition at line 100 of file TFormula.h.
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private |
trasient to force initialization
Definition at line 99 of file TFormula.h.
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private |
Definition at line 95 of file TFormula.h.
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private |
pointer to methocall
Definition at line 102 of file TFormula.h.
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private |
cached variables
Definition at line 97 of file TFormula.h.
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private |
input function passed to Cling
Definition at line 96 of file TFormula.h.
Definition at line 121 of file TFormula.h.
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protected |
Definition at line 123 of file TFormula.h.
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private |
unique name passed to Cling to define the function ( double clingName(double*x, double*p) )
Definition at line 104 of file TFormula.h.
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protected |
Definition at line 118 of file TFormula.h.
Definition at line 122 of file TFormula.h.
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private |
function pointer
Definition at line 105 of file TFormula.h.
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protected |
Definition at line 127 of file TFormula.h.
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private |
Definition at line 101 of file TFormula.h.
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protected |
Definition at line 124 of file TFormula.h.
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protected |
Definition at line 125 of file TFormula.h.
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protected |
Definition at line 126 of file TFormula.h.
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protected |
list of variable names
Definition at line 120 of file TFormula.h.
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private |
Definition at line 98 of file TFormula.h.
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protected |
Definition at line 119 of file TFormula.h.