The picture below gives an example:
TGraph() | |
TGraph(Int_t n) | |
TGraph(const TGraph& gr) | |
TGraph(const TH1* h) | |
TGraph(const TVectorF& vx, const TVectorF& vy) | |
TGraph(const TVectorD& vx, const TVectorD& vy) | |
TGraph(const TF1* f, Option_t* option = "") | |
TGraph(Int_t n, const Int_t* x, const Int_t* y) | |
TGraph(Int_t n, const Float_t* x, const Float_t* y) | |
TGraph(Int_t n, const Double_t* x, const Double_t* y) | |
TGraph(const char* filename, const char* format = "%lg %lg", Option_t* option = "") | |
virtual | ~TGraph() |
void | TObject::AbstractMethod(const char* method) const |
virtual void | TObject::AppendPad(Option_t* option = "") |
virtual void | Apply(TF1* f) |
virtual void | Browse(TBrowser* b) |
virtual Double_t | Chisquare(const TF1* f1) const |
static TClass* | Class() |
virtual const char* | TObject::ClassName() const |
virtual void | TNamed::Clear(Option_t* option = "") |
virtual TObject* | TNamed::Clone(const char* newname = "") const |
virtual Int_t | TNamed::Compare(const TObject* obj) const |
static Bool_t | CompareArg(const TGraph* gr, Int_t left, Int_t right) |
static Bool_t | CompareRadius(const TGraph* gr, Int_t left, Int_t right) |
static Bool_t | CompareX(const TGraph* gr, Int_t left, Int_t right) |
static Bool_t | CompareY(const TGraph* gr, Int_t left, Int_t right) |
void | ComputeLogs(Int_t npoints, Int_t opt) |
virtual void | ComputeRange(Double_t& xmin, Double_t& ymin, Double_t& xmax, Double_t& ymax) const |
virtual void | TNamed::Copy(TObject& named) const |
virtual void | TObject::Delete(Option_t* option = "") |
Int_t | TAttLine::DistancetoLine(Int_t px, Int_t py, Double_t xp1, Double_t yp1, Double_t xp2, Double_t yp2) |
virtual Int_t | DistancetoPrimitive(Int_t px, Int_t py) |
virtual void | Draw(Option_t* chopt = "") |
virtual void | TObject::DrawClass() const |
virtual TObject* | TObject::DrawClone(Option_t* option = "") const |
virtual void | DrawGraph(Int_t n, const Int_t* x, const Int_t* y, Option_t* option = "") |
virtual void | DrawGraph(Int_t n, const Float_t* x, const Float_t* y, Option_t* option = "") |
virtual void | DrawGraph(Int_t n, const Double_t* x = 0, const Double_t* y = 0, Option_t* option = "") |
virtual void | DrawPanel() |
virtual void | TObject::Dump() const |
virtual void | TObject::Error(const char* method, const char* msgfmt) const |
virtual Double_t | Eval(Double_t x, TSpline* spline = 0, Option_t* option = "") const |
virtual void | TObject::Execute(const char* method, const char* params, Int_t* error = 0) |
virtual void | TObject::Execute(TMethod* method, TObjArray* params, Int_t* error = 0) |
virtual void | ExecuteEvent(Int_t event, Int_t px, Int_t py) |
virtual void | Expand(Int_t newsize) |
virtual void | Expand(Int_t newsize, Int_t step) |
virtual void | TObject::Fatal(const char* method, const char* msgfmt) const |
virtual void | TNamed::FillBuffer(char*& buffer) |
virtual TObject* | FindObject(const char* name) const |
virtual TObject* | FindObject(const TObject* obj) const |
virtual Int_t | Fit(const char* formula, Option_t* option = "", Option_t* goption = "", Axis_t xmin = 0, Axis_t xmax = 0) |
virtual Int_t | Fit(TF1* f1, Option_t* option = "", Option_t* goption = "", Axis_t xmin = 0, Axis_t xmax = 0) |
virtual void | FitPanel() |
virtual Double_t | GetCorrelationFactor() const |
virtual Double_t | GetCovariance() const |
virtual Option_t* | TObject::GetDrawOption() const |
static Long_t | TObject::GetDtorOnly() |
Bool_t | GetEditable() const |
virtual Double_t | GetErrorX(Int_t bin) const |
virtual Double_t | GetErrorXhigh(Int_t bin) const |
virtual Double_t | GetErrorXlow(Int_t bin) const |
virtual Double_t | GetErrorY(Int_t bin) const |
virtual Double_t | GetErrorYhigh(Int_t bin) const |
virtual Double_t | GetErrorYlow(Int_t bin) const |
virtual Double_t* | GetEX() const |
virtual Double_t* | GetEXhigh() const |
virtual Double_t* | GetEXlow() const |
virtual Double_t* | GetEY() const |
virtual Double_t* | GetEYhigh() const |
virtual Double_t* | GetEYlow() const |
virtual Color_t | TAttFill::GetFillColor() const |
virtual Style_t | TAttFill::GetFillStyle() const |
TF1* | GetFunction(const char* name) const |
TH1F* | GetHistogram() const |
virtual const char* | TObject::GetIconName() const |
virtual Color_t | TAttLine::GetLineColor() const |
virtual Style_t | TAttLine::GetLineStyle() const |
virtual Width_t | TAttLine::GetLineWidth() const |
TList* | GetListOfFunctions() const |
virtual Color_t | TAttMarker::GetMarkerColor() const |
virtual Size_t | TAttMarker::GetMarkerSize() const |
virtual Style_t | TAttMarker::GetMarkerStyle() const |
Int_t | GetMaxSize() const |
virtual Double_t | GetMean(Int_t axis = 1) const |
Int_t | GetN() const |
virtual const char* | TNamed::GetName() const |
virtual char* | TObject::GetObjectInfo(Int_t px, Int_t py) const |
static Bool_t | TObject::GetObjectStat() |
virtual Option_t* | TObject::GetOption() const |
virtual void | GetPoint(Int_t i, Double_t& x, Double_t& y) const |
virtual Double_t | GetRMS(Int_t axis = 1) const |
virtual const char* | TNamed::GetTitle() const |
virtual UInt_t | TObject::GetUniqueID() const |
Double_t* | GetX() const |
TAxis* | GetXaxis() const |
Double_t* | GetY() const |
TAxis* | GetYaxis() const |
virtual Bool_t | TObject::HandleTimer(TTimer* timer) |
virtual ULong_t | TNamed::Hash() const |
virtual void | TObject::Info(const char* method, const char* msgfmt) const |
virtual Bool_t | TObject::InheritsFrom(const char* classname) const |
virtual Bool_t | TObject::InheritsFrom(const TClass* cl) const |
virtual void | InitExpo(Double_t xmin = 0, Double_t xmax = 0) |
virtual void | InitGaus(Double_t xmin = 0, Double_t xmax = 0) |
virtual void | InitPolynom(Double_t xmin = 0, Double_t xmax = 0) |
virtual Int_t | InsertPoint() |
virtual void | TObject::Inspect() const |
void | TObject::InvertBit(UInt_t f) |
virtual TClass* | IsA() const |
virtual Bool_t | IsEditable() const |
virtual Bool_t | TObject::IsEqual(const TObject* obj) const |
virtual Bool_t | TObject::IsFolder() const |
Bool_t | TObject::IsOnHeap() const |
virtual Bool_t | TNamed::IsSortable() const |
virtual Bool_t | TAttFill::IsTransparent() const |
Bool_t | TObject::IsZombie() const |
virtual void | LeastSquareFit(Int_t m, Double_t* a, Double_t xmin = 0, Double_t xmax = 0) |
virtual void | LeastSquareLinearFit(Int_t n, Double_t& a0, Double_t& a1, Int_t& ifail, Double_t xmin = 0, Double_t xmax = 0) |
virtual void | TNamed::ls(Option_t* option = "") const |
void | TObject::MayNotUse(const char* method) const |
virtual Int_t | Merge(TCollection* list) |
virtual void | TAttLine::Modify() |
virtual Bool_t | TObject::Notify() |
static void | TObject::operator delete(void* ptr) |
static void | TObject::operator delete(void* ptr, void* vp) |
static void | TObject::operator delete[](void* ptr) |
static void | TObject::operator delete[](void* ptr, void* vp) |
void* | TObject::operator new(size_t sz) |
void* | TObject::operator new(size_t sz, void* vp) |
void* | TObject::operator new[](size_t sz) |
void* | TObject::operator new[](size_t sz, void* vp) |
TGraph& | operator=(const TGraph&) |
virtual void | Paint(Option_t* chopt = "") |
virtual void | PaintFit(TF1* fit) |
virtual void | PaintGraph(Int_t npoints, const Double_t* x, const Double_t* y, Option_t* option = "") |
virtual void | PaintGrapHist(Int_t npoints, const Double_t* x, const Double_t* y, Option_t* option = "") |
virtual void | PaintPolyLineHatches(Int_t n, const Double_t* x, const Double_t* y) |
virtual void | TObject::Pop() |
virtual void | Print(Option_t* chopt = "") const |
virtual Int_t | TObject::Read(const char* name) |
virtual void | RecursiveRemove(TObject* obj) |
virtual Int_t | RemovePoint() |
virtual Int_t | RemovePoint(Int_t ipoint) |
virtual void | TAttFill::ResetAttFill(Option_t* option = "") |
virtual void | TAttLine::ResetAttLine(Option_t* option = "") |
virtual void | TAttMarker::ResetAttMarker(Option_t* toption = "") |
void | TObject::ResetBit(UInt_t f) |
virtual void | TObject::SaveAs(const char* filename = "", Option_t* option = "") const |
virtual void | TAttFill::SaveFillAttributes(ostream& out, const char* name, Int_t coldef = 1, Int_t stydef = 1001) |
virtual void | TAttLine::SaveLineAttributes(ostream& out, const char* name, Int_t coldef = 1, Int_t stydef = 1, Int_t widdef = 1) |
virtual void | TAttMarker::SaveMarkerAttributes(ostream& out, const char* name, Int_t coldef = 1, Int_t stydef = 1, Int_t sizdef = 1) |
virtual void | SavePrimitive(ostream& out, Option_t* option = "") |
virtual void | Set(Int_t n) |
void | TObject::SetBit(UInt_t f) |
void | TObject::SetBit(UInt_t f, Bool_t set) |
virtual void | TObject::SetDrawOption(Option_t* option = "") |
static void | TObject::SetDtorOnly(void* obj) |
virtual void | SetEditable(Bool_t editable = kTRUE) |
virtual void | TAttFill::SetFillAttributes() |
virtual void | TAttFill::SetFillColor(Color_t fcolor) |
virtual void | TAttFill::SetFillStyle(Style_t fstyle) |
virtual void | SetHistogram(TH1* h) |
virtual void | TAttLine::SetLineAttributes() |
virtual void | TAttLine::SetLineColor(Color_t lcolor) |
virtual void | TAttLine::SetLineStyle(Style_t lstyle) |
virtual void | TAttLine::SetLineWidth(Width_t lwidth) |
virtual void | TAttMarker::SetMarkerAttributes() |
virtual void | TAttMarker::SetMarkerColor(Color_t tcolor = 1) |
virtual void | TAttMarker::SetMarkerSize(Size_t msize = 1) |
virtual void | TAttMarker::SetMarkerStyle(Style_t mstyle = 1) |
virtual void | SetMaximum(Double_t maximum = -1111) |
virtual void | SetMinimum(Double_t minimum = -1111) |
virtual void | TNamed::SetName(const char* name) |
virtual void | TNamed::SetNameTitle(const char* name, const char* title) |
static void | TObject::SetObjectStat(Bool_t stat) |
virtual void | SetPoint(Int_t i, Double_t x, Double_t y) |
virtual void | SetTitle(const char* title = "") |
virtual void | TObject::SetUniqueID(UInt_t uid) |
virtual void | ShowMembers(TMemberInspector& insp, char* parent) |
virtual Int_t | TNamed::Sizeof() const |
void | Smooth(Int_t npoints, Double_t* x, Double_t* y, Int_t drawtype) |
virtual void | Sort(Bool_t (*)(const TGraph*, Int_t, Int_t) greater = &TGraph::CompareX, Bool_t ascending = kTRUE, Int_t low = 0, Int_t high = -1111) |
virtual void | Streamer(TBuffer& b) |
void | StreamerNVirtual(TBuffer& b) |
virtual void | TObject::SysError(const char* method, const char* msgfmt) const |
Bool_t | TObject::TestBit(UInt_t f) const |
Int_t | TObject::TestBits(UInt_t f) const |
virtual void | UseCurrentStyle() |
virtual void | TObject::Warning(const char* method, const char* msgfmt) const |
virtual Int_t | TObject::Write(const char* name = 0, Int_t option = 0, Int_t bufsize = 0) |
virtual Int_t | TObject::Write(const char* name = 0, Int_t option = 0, Int_t bufsize = 0) const |
void | Zero(Int_t& k, Double_t AZ, Double_t BZ, Double_t E2, Double_t& X, Double_t& Y, Int_t maxiterations) |
virtual Double_t** | Allocate(Int_t newsize) |
Double_t** | AllocateArrays(Int_t Narrays, Int_t arraySize) |
virtual void | CopyAndRelease(Double_t** newarrays, Int_t ibegin, Int_t iend, Int_t obegin) |
virtual Bool_t | CopyPoints(Double_t** newarrays, Int_t ibegin, Int_t iend, Int_t obegin) |
Bool_t | CtorAllocate() |
virtual void | TObject::DoError(int level, const char* location, const char* fmt, va_list va) const |
Double_t** | ExpandAndCopy(Int_t size, Int_t iend) |
virtual void | FillZero(Int_t begin, Int_t end, Bool_t from_ctor = kTRUE) |
void | TObject::MakeZombie() |
Double_t** | ShrinkAndCopy(Int_t size, Int_t iend) |
virtual void | SwapPoints(Int_t pos1, Int_t pos2) |
static void | SwapValues(Double_t* arr, Int_t pos1, Int_t pos2) |
enum { | kClipFrame | |
kNotEditable | ||
}; | ||
enum TObject::EStatusBits { | kCanDelete | |
kMustCleanup | ||
kObjInCanvas | ||
kIsReferenced | ||
kHasUUID | ||
kCannotPick | ||
kNoContextMenu | ||
kInvalidObject | ||
}; | ||
enum TObject::[unnamed] { | kIsOnHeap | |
kNotDeleted | ||
kZombie | ||
kBitMask | ||
kSingleKey | ||
kOverwrite | ||
kWriteDelete | ||
}; |
Color_t | TAttFill::fFillColor | fill area color |
Style_t | TAttFill::fFillStyle | fill area style |
TList* | fFunctions | Pointer to list of functions (fits and user) |
TH1F* | fHistogram | Pointer to histogram used for drawing axis |
Color_t | TAttLine::fLineColor | line color |
Style_t | TAttLine::fLineStyle | line style |
Width_t | TAttLine::fLineWidth | line width |
Color_t | TAttMarker::fMarkerColor | Marker color index |
Size_t | TAttMarker::fMarkerSize | Marker size |
Style_t | TAttMarker::fMarkerStyle | Marker style |
Int_t | fMaxSize | !Current dimension of arrays fX and fY |
Double_t | fMaximum | Maximum value for plotting along y |
Double_t | fMinimum | Minimum value for plotting along y |
TString | TNamed::fName | object identifier |
Int_t | fNpoints | Number of points <= fMaxSize |
TString | TNamed::fTitle | object title |
Double_t* | fX | [fNpoints] array of X points |
Double_t* | fY | [fNpoints] array of Y points |
Graph constructor with two vectors of floats in input A graph is build with the X coordinates taken from vx and Y coord from vy The number of points in the graph is the minimum of number of points in vx and vy.
Graph constructor with two vectors of doubles in input A graph is build with the X coordinates taken from vx and Y coord from vy The number of points in the graph is the minimum of number of points in vx and vy.
Graph constructor importing its parameters from the TH1 object passed as argument
Graph constructor importing its parameters from the TF1 object passed as argument if option =="" (default), a TGraph is created with points computed at the fNpx points of f. if option =="d", a TGraph is created with points computed with the derivatives at the fNpx points of f. if option =="i", a TGraph is created with points computed with the integral at the fNpx points of f. if option =="I", a TGraph is created with points computed with the integral at the fNpx+1 points of f and the integral is normalized to 1.
Graph constructor reading input from filename
filename is assumed to contain at least two columns of numbers
the string format is by default "%lg %lg"
Return the chisquare of this graph with respect to f1. The chisquare is computed as the sum of the quantity below at each point:where x and y are the graph point coordinates and f1'(x) is the derivative of function f1(x). This method to approximate the uncertainty in y because of the errors in x, is called "effective variance" method. In case of a pure TGraph, the denominator is 1. In case of a TGraphErrors or TGraphAsymmErrors the errors are taken into account.
Compute the x/y range of the points in this graph
Draw this graph with its current attributes. Options to draw a graph are described in TGraph::PaintGraph
Compute distance from point px,py to a graph. Compute the closest distance of approach from point px,py to this line. The distance is computed in pixels units.
Draw this graph with new attributes.
Draw this graph with new attributes.
Draw this graph with new attributes.
Interpolate points in this graph at x using a TSpline -if spline==0 and option="" a linear interpolation between the two points close to x is computed. If x is outside the graph range, a linear extrapolation is computed. -if spline==0 and option="S" a TSpline3 object is created using this graph and the interpolated value from the spline is returned. the internally created spline is deleted on return. -if spline is specified, it is used to return the interpolated value.
Execute action corresponding to one event. This member function is called when a graph is clicked with the locator If Left button clicked on one of the line end points, this point follows the cursor until button is released. if Middle button clicked, the line is moved parallel to itself until the button is released.
If graph capacity is less than newsize points then make array sizes equal to least multiple of step to contain newsize points. Returns kTRUE if size was altered
if size > fMaxSize allocate new arrays of 2*size points and copy oend first points. Return pointer to new arrays.
Set zero values for point arrays in the range [begin, end) Should be redefined in descendant classes
Fit this graph with function with name fname. interface to TGraph::Fit(TF1 *f1... fname is the name of an already predefined function created by TF1 or TF2 Predefined functions such as gaus, expo and poln are automatically created by ROOT. fname can also be a formula, accepted by the linear fitter (linear parts divided by "++" sign), for example "x++sin(x)" for fitting "[0]*x+[1]*sin(x)"
Fit this graph with function f1. f1 is an already predefined function created by TF1. Predefined functions such as gaus, expo and poln are automatically created by ROOT. The list of fit options is given in parameter option. option = "W" Set all weights to 1; ignore error bars = "U" Use a User specified fitting algorithm (via SetFCN) = "Q" Quiet mode (minimum printing) = "V" Verbose mode (default is between Q and V) = "B" Use this option when you want to fix one or more parameters and the fitting function is like "gaus","expo","poln","landau". = "R" Use the Range specified in the function range = "N" Do not store the graphics function, do not draw = "0" Do not plot the result of the fit. By default the fitted function is drawn unless the option"N" above is specified. = "+" Add this new fitted function to the list of fitted functions (by default, any previous function is deleted) = "C" In case of linear fitting, not calculate the chisquare (saves time) = "F" If fitting a polN, switch to minuit fitter = "ROB" In case of linear fitting, compute the LTS regression coefficients (robust(resistant) regression), using the default fraction of good points "ROB=0.x" - compute the LTS regression coefficients, using 0.x as a fraction of good points When the fit is drawn (by default), the parameter goption may be used to specify a list of graphics options. See TGraph::Paint for a complete list of these options. In order to use the Range option, one must first create a function with the expression to be fitted. For example, if your graph has a defined range between -4 and 4 and you want to fit a gaussian only in the interval 1 to 3, you can do: TF1 *f1 = new TF1("f1","gaus",1,3); graph->Fit("f1","R"); Who is calling this function: Note that this function is called when calling TGraphErrors::Fit or TGraphAsymmErrors::Fit ot TGraphBentErrors::Fit see the discussion below on the errors calulation. Linear fitting: When the fitting function is linear (contains the "++" sign) or the fitting function is a polynomial, a linear fitter is initialised. To create a linear function, use the following syntaxis: linear parts separated by "++" sign. Example: to fit the parameters of "[0]*x + [1]*sin(x)", create a TF1 *f1=new TF1("f1", "x++sin(x)", xmin, xmax); For such a TF1 you don't have to set the initial conditions Going via the linear fitter for functions, linear in parameters, gives a considerable advantage in speed. Setting initial conditions: Parameters must be initialized before invoking the Fit function. The setting of the parameter initial values is automatic for the predefined functions : poln, expo, gaus, landau. One can however disable this automatic computation by specifying the option "B". You can specify boundary limits for some or all parameters via f1->SetParLimits(p_number, parmin, parmax); if parmin>=parmax, the parameter is fixed Note that you are not forced to fix the limits for all parameters. For example, if you fit a function with 6 parameters, you can do: func->SetParameters(0,3.1,1.e-6,0.1,-8,100); func->SetParLimits(4,-10,-4); func->SetParLimits(5, 1,1); With this setup, parameters 0->3 can vary freely Parameter 4 has boundaries [-10,-4] with initial value -8 Parameter 5 is fixed to 100. Fit range: The fit range can be specified in two ways: - specify rxmax > rxmin (default is rxmin=rxmax=0) - specify the option "R". In this case, the function will be taken instead of the full graph range. Changing the fitting function: By default the fitting function GraphFitChisquare is used. To specify a User defined fitting function, specify option "U" and call the following functions: TVirtualFitter::Fitter(mygraph)->SetFCN(MyFittingFunction) where MyFittingFunction is of type: extern void MyFittingFunction(Int_t &npar, Double_t *gin, Double_t &f, Double_t *u, Int_t flag); How errors are used in the chisquare function (see TFitter GraphFitChisquare)// Access to the fit results In case of a TGraphErrors object, ex, the error along x, is projected along the y-direction by calculating the function at the points x-exlow and x+exhigh. The chisquare is computed as the sum of the quantity below at each point:where x and y are the point coordinates, and f'(x) is the derivative of function f(x). In case the function lies below (above) the data point, ey is ey_low (ey_high). thanks to Andy Haas (haas@yahoo.com) for adding the case with TGraphasymmerrors University of Washington The approach used to approximate the uncertainty in y because of the errors in x, is to make it equal the error in x times the slope of the line. The improvement, compared to the first method (f(x+ exhigh) - f(x-exlow))/2 is of (error of x)**2 order. This approach is called "effective variance method". This improvement has been made in version 4.00/08 by Anna Kreshuk. NOTE: 1) By using the "effective variance" method a simple linear regression becomes a non-linear case, which takes several iterations instead of 0 as in the linear case . 2) The effective variance technique assumes that there is no correlation between the x and y coordinate . Note, that the linear fitter doesn't take into account the errors in x. If errors in x are important, go through minuit (use option "F" for polynomial fitting). 3) When fitting a TGraph (ie no errors associated to each point), a correction is applied to the errors on the parameters with the following formula: errorp *= sqrt(chisquare/(ndf-1)) Associated functions: One or more object (typically a TF1*) can be added to the list of functions (fFunctions) associated to each graph. When TGraph::Fit is invoked, the fitted function is added to this list. Given a graph gr, one can retrieve an associated function with: TF1 *myfunc = gr->GetFunction("myfunc"); If the graph is made persistent, the list of associated functions is also persistent. Given a pointer (see above) to an associated function myfunc, one can retrieve the function/fit parameters with calls such as: Double_t chi2 = myfunc->GetChisquare(); Double_t par0 = myfunc->GetParameter(0); //value of 1st parameter Double_t err0 = myfunc->GetParError(0); //error on first parameter Fit Statistics You can change the statistics box to display the fit parameters with the TStyle::SetOptFit(mode) method. This mode has four digits. mode = pcev (default = 0111) v = 1; print name/values of parameters e = 1; print errors (if e=1, v must be 1) c = 1; print Chisquare/Number of degress of freedom p = 1; print Probability For example: gStyle->SetOptFit(1011); prints the fit probability, parameter names/values, and errors. You can change the position of the statistics box with these lines (where g is a pointer to the TGraph): Root > TPaveStats *st = (TPaveStats*)g->GetListOfFunctions()->FindObject("stats") Root > st->SetX1NDC(newx1); //new x start position Root > st->SetX2NDC(newx2); //new x end position Access to the fit status The function return the status of the fit (fitResult) in the following form fitResult = migradResult + 10*minosResult + 100*hesseResult + 1000*improveResult The fitResult is 0 is the fit is OK. The fitResult is negative in case of an error not connected with the fit.
This function is called by GraphFitChisquare. It always returns a negative value. Real implementation in TGraphErrors
This function is called by GraphFitChisquare. It always returns a negative value. Real implementation in TGraphErrors
This function is called by GraphFitChisquare. It always returns a negative value. Real implementation in TGraphErrors and TGraphAsymmErrors
This function is called by GraphFitChisquare. It always returns a negative value. Real implementation in TGraphErrors and TGraphAsymmErrors
This function is called by GraphFitChisquare. It always returns a negative value. Real implementation in TGraphErrors and TGraphAsymmErrors
This function is called by GraphFitChisquare. It always returns a negative value. Real implementation in TGraphErrors and TGraphAsymmErrors
Returns a pointer to the histogram used to draw the axis Takes into account the two following cases. 1- option 'A' was specified in TGraph::Draw. Return fHistogram 2- user had called TPad::DrawFrame. return pointer to hframe histogram
Compute Initial values of parameters for a gaussian.
Compute Initial values of parameters for an exponential.
Compute Initial values of parameters for a polynom.
Least squares lpolynomial fitting without weights. m number of parameters a array of parameters first 1st point number to fit (default =0) last last point number to fit (default=fNpoints-1) based on CERNLIB routine LSQ: Translated to C++ by Rene Brun
Least square linear fit without weights. Fit a straight line (a0 + a1*x) to the data in this graph. ndata: if ndata<0, fits the logarithm of the graph (used in InitExpo() to set the initial parameter values for a fit with exponential function. a0: constant a1: slope ifail: return parameter indicating the status of the fit (ifail=0, fit is OK) xmin, xmax: fitting range extracted from CERNLIB LLSQ: Translated to C++ by Rene Brun
Control function to draw a graph. Draws one dimensional graphs. The aspect of the graph is done according to the value of the chopt. Input parameters: npoints : Number of points in X or in Y. x[npoints] or x[2] : X coordinates or (XMIN,XMAX) (WC space). y[npoints] or y[2] : Y coordinates or (YMIN,YMAX) (WC space). chopt : Option. chopt='L' : A simple polyline between every points is drawn chopt='F' : A fill area is drawn ('CF' draw a smooth fill area) chopt='A' : Axis are drawn around the graph chopt='C' : A smooth Curve is drawn chopt='*' : A Star is plotted at each point chopt='P' : Idem with the current marker chopt='B' : A Bar chart is drawn at each point chopt='1' : ylow=rwymin chopt='X+' : The X-axis is drawn on the top side of the plot. chopt='Y+' : The Y-axis is drawn on the right side of the plot. When a graph is painted with the option "C" or "L" it is possible to draw a filled area on one side of the line. This is useful to show exclusion zones. This drawing mode is activated when the absolute value of the graph line width (set thanks to SetLineWidth) is greater than 99. In that case the line width number is interpreted as 100*ff+ll = ffll . The two digits number "ll" represent the normal line width whereas "ff" is the filled area width. The sign of "ffll" allows to flip the filled area from one side of the line to the other. The current fill area attributes are used to draw the hatched zone.
Control function to draw a graphistogram. Draws one dimensional graphs. The aspect of the graph is done according to the value of the chopt. Input parameters: npoints : Number of points in X or in Y. X(N) or x[1] : X coordinates or (XMIN,XMAX) (WC space). Y(N) or y[1] : Y coordinates or (YMIN,YMAX) (WC space). chopt : Option. chopt='R' : Graph is drawn horizontaly, parallel to X axis. (default is vertically, parallel to Y axis) If option R is selected the user must give: 2 values for Y (y[0]=YMIN and y[1]=YMAX) N values for X, one for each channel. Otherwise the user must give: N values for Y, one for each channel. 2 values for X (x[0]=XMIN and x[1]=XMAX) chopt='L' : A simple polyline beetwen every points is drawn chopt='H' : An Histogram with equidistant bins is drawn as a polyline. chopt='F' : An histogram with equidistant bins is drawn as a fill area. Contour is not drawn unless chopt='H' is also selected.. chopt='N' : Non equidistant bins (default is equidistant) If N is the number of channels array X and Y must be dimensionned as follow: If option R is not selected (default) then the user must give: (N+1) values for X (limits of channels). N values for Y, one for each channel. Otherwise the user must give: (N+1) values for Y (limits of channels). N values for X, one for each channel. chopt='F1': Idem as 'F' except that fill area is no more reparted arround axis X=0 or Y=0 . chopt='F2': Draw a Fill area polyline connecting the center of bins chopt='C' : A smooth Curve is drawn. chopt='*' : A Star is plotted at the center of each bin. chopt='P' : Idem with the current marker chopt='P0': Idem with the current marker. Empty bins also drawn chopt='B' : A Bar chart with equidistant bins is drawn as fill areas (Contours are drawn). chopt='9' : Force graph to be drawn in high resolution mode. By default, the graph is drawn in low resolution in case the number of points is greater than the number of pixels in the current pad. chopt='][' : "Cutoff" style. When this option is selected together with H option, the first and last vertical lines of the histogram are not drawn.
Draws a polyline with hatches on one side showing an exclusion zone. x and y are the the vectors holding the polyline and n the number of points in the polyline and w the width of the hatches. w can be negative. This method is not meant to be used directly. It is called automatically according to the line style convention.
Convert WC from Log scales. Take the LOG10 of gxwork and gywork according to the value of Options and put it in gxworkl and gyworkl. npoints : Number of points in gxwork and in gywork.
Save primitive as a C++ statement(s) on output stream out
if size*2 <= fMaxSize allocate new arrays of size points, copy points [0,oend). Return newarray (passed or new instance if it was zero and allocations are needed)
Smooth a curve given by N points. Underlaying routine for Draw based on the CERN GD3 routine TVIPTE Author - Marlow etc. Modified by - P. Ward Date - 3.10.1973 This routine draws a smooth tangentially continuous curve through the sequence of data points P(I) I=1,N where P(I)=(X(I),Y(I)) the curve is approximated by a polygonal arc of short vectors . the data points can represent open curves, P(1) != P(N) or closed curves P(2) == P(N) . If a tangential discontinuity at P(I) is required , then set P(I)=P(I+1) . loops are also allowed . Reference Marlow and Powell,Harwell report No.R.7092.1972 MCCONALOGUE,Computer Journal VOL.13,NO4,NOV1970Pp392 6 _Input parameters: npoints : Number of data points. x : Abscissa y : Ordinate delta is the accuracy required in constructing the curve. if it is zero then the routine calculates a value other- wise it uses this value. (default is 0.0)
Sorts the points of this TGraph using in-place quicksort (see e.g. older glibc). To compare two points the function parameter greaterfunc is used (see TGraph::CompareX for an example of such a method, which is also the default comparison function for Sort). After the sort, greaterfunc(this, i, j) will return kTRUE for all i>j if ascending == kTRUE, and kFALSE otherwise. The last two parameters are used for the recursive quick sort, stating the range to be sorted Examples: // sort points along x axis graph->Sort(); // sort points along their distance to origin graph->Sort(&TGraph::CompareRadius); Bool_t CompareErrors(const TGraph* gr, Int_t i, Int_t j) { const TGraphErrors* ge=(const TGraphErrors*)gr; return (ge->GetEY()[i]>ge->GetEY()[j]); } // sort using the above comparison function, largest errors first graph->Sort(&CompareErrors, kFALSE);
Set current style settings in this graph This function is called when either TCanvas::UseCurrentStyle or TROOT::ForceStyle have been invoked.
Find zero of a continuous function. Underlaying routine for PaintGraph This function finds a real zero of the continuous real function Y(X) in a given interval (A,B). See accompanying notes for details of the argument list and calling sequence
Adds all graphs from the collection to this graph. Returns the total number of poins in the result or -1 in case of an error.