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splines_test.C File Reference

Detailed Description

View in nbviewer Open in SWAN Examples of use of the spline classes.

void splines_test(Int_t np=23, Double_t a=-0.5, Double_t b=31)
{
// array of points
Double_t *xx=0, *yy=0;
TSpline3 *spline3=0;
TSpline5 *spline5=0;
TLine *line5, *line3;
TText *text5, *text3, *textn;
char text[20];
const Double_t power=0.75;
// Define the original function
TF1 *f=new TF1("f","sin(x)*sin(x/10)",
a-0.05*(b-a),b+0.05*(b-a));
// Draw function
f->Draw("lc");
// Create text and legend
Double_t xx1, yy1, xx2, yy2, dx, dy;
gPad->Update();
gPad->GetRangeAxis(xx1,yy1,xx2,yy2);
dx = xx2-xx1;
dy = yy2-yy1;
line5=new TLine(xx1+dx*0.3,yy1+dy*1.02,
xx1+dx*0.38,yy1+dy*1.02);
line5->SetLineColor(kRed);
line5->SetLineWidth(2);
text5 = new TText(xx1+dx*0.4,
yy1+dy*1.03,"quintic spline");
text5->SetTextAlign(12);
text5->SetTextSize(0.04);
line3=new TLine(xx1+dx*0.67,yy1+dy*1.02,
xx1+dx*0.75,yy1+dy*1.02);
line3->SetLineWidth(2);
text3 = new TText(xx1+dx*0.77,
yy1+dy*1.03,"third spline");
text3->SetTextAlign(12);
text3->SetTextSize(0.04);
textn = new TText(xx1+dx*0.8,yy1+dy*0.91," ");
textn->SetTextAlign(12);
textn->SetTextSize(0.04);
textn->Draw();
// Draw legenda
line5->Draw();
text5->Draw();
line3->Draw();
text3->Draw();
for(Int_t nnp=2; nnp<=np; ++nnp) {
// Calculate the knots
if(xx) delete[] xx;
xx = new Double_t[nnp];
if(yy) delete[] yy;
yy = new Double_t[nnp];
for (Int_t i=0; i<nnp; ++i) {
xx[i]=a+(b-a)*TMath::Power(i/Double_t (nnp-1),power);
yy[i]=f->Eval(xx[i]);
}
// Evaluate fifth spline coefficients
Double_t eps=(b-a)*1.e-5;
if(spline5) delete spline5;
spline5 = new TSpline5("Test",xx,f,nnp,"b1e1b2e2",
f->Derivative(a),f->Derivative(b),
(f->Derivative(a+eps)-f->Derivative(a))/eps,
(f->Derivative(b)-f->Derivative(b-eps))/eps);
spline5->SetLineColor(kRed);
spline5->SetLineWidth(3);
// Draw the quintic spline
spline5->Draw("lcsame");
// Evaluate third spline coefficients
if(spline3) delete spline3;
spline3 = new TSpline3("Test",xx,yy,nnp,"b1e1",
f->Derivative(a),f->Derivative(b));
spline3->SetLineColor(kGreen);
spline3->SetLineWidth(3);
spline3->SetMarkerColor(kBlue);
spline3->SetMarkerStyle(20);
spline3->SetMarkerSize(1.5);
// Draw the third spline
spline3->Draw("lcpsame");
sprintf(text,"%3d knots",nnp);
textn->SetTitle(text);
gPad->Update();
//
gSystem->Sleep(500);
}
}
#define b(i)
Definition RSha256.hxx:100
#define f(i)
Definition RSha256.hxx:104
#define a(i)
Definition RSha256.hxx:99
int Int_t
Definition RtypesCore.h:45
double Double_t
Definition RtypesCore.h:59
@ kRed
Definition Rtypes.h:66
@ kGreen
Definition Rtypes.h:66
@ kBlue
Definition Rtypes.h:66
R__EXTERN TSystem * gSystem
Definition TSystem.h:559
#define gPad
virtual void SetLineWidth(Width_t lwidth)
Set the line width.
Definition TAttLine.h:43
virtual void SetLineColor(Color_t lcolor)
Set the line color.
Definition TAttLine.h:40
virtual void SetMarkerColor(Color_t mcolor=1)
Set the marker color.
Definition TAttMarker.h:38
virtual void SetMarkerStyle(Style_t mstyle=1)
Set the marker style.
Definition TAttMarker.h:40
virtual void SetMarkerSize(Size_t msize=1)
Set the marker size.
Definition TAttMarker.h:41
virtual void SetTextAlign(Short_t align=11)
Set the text alignment.
Definition TAttText.h:41
virtual void SetTextSize(Float_t tsize=1)
Set the text size.
Definition TAttText.h:46
1-Dim function class
Definition TF1.h:213
A simple line.
Definition TLine.h:22
virtual void SetTitle(const char *title="")
Set the title of the TNamed.
Definition TNamed.cxx:164
virtual void Draw(Option_t *option="")
Default Draw method for all objects.
Definition TObject.cxx:197
Class to create third splines to interpolate knots Arbitrary conditions can be introduced for first a...
Definition TSpline.h:201
Class to create quintic natural splines to interpolate knots Arbitrary conditions can be introduced f...
Definition TSpline.h:257
virtual void Draw(Option_t *option="")
Draw this function with its current attributes.
Definition TSpline.cxx:101
virtual void Sleep(UInt_t milliSec)
Sleep milliSec milli seconds.
Definition TSystem.cxx:438
Base class for several text objects.
Definition TText.h:22
TText * text
LongDouble_t Power(LongDouble_t x, LongDouble_t y)
Definition TMath.h:735
Author
Federico Carminati

Definition in file splines_test.C.