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Legendre.py
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1## \file
2## \ingroup tutorial_math
3## \notebook
4## Example of first few Legendre Polynomials. Inspired by work of Lorenzo Moneta.
5##
6## \macro_image
7## \macro_code
8##
9## \author Alberto Ferro, Massimiliano Galli
10
11
12import ROOT
13
14ROOT.gSystem.Load("libMathMore")
15Canvas = ROOT.TCanvas("DistCanvas", "Legendre polynomials example", 10, 10, 750, 600)
16Canvas.SetGrid()
17leg = ROOT.TLegend(0.5, 0.7, 0.4, 0.89)
18
19L = []
20for nu in range(5):
21 f = ROOT.TF1("L_0", "ROOT::Math::legendre([0],x)", -1, 1)
22 f.SetParameters(nu, 0.0)
23 f.SetLineStyle(1)
24 f.SetLineWidth(2)
25 f.SetLineColor(nu+1)
26 L.append(f)
27
28L[0].SetMaximum(1)
29L[0].SetMinimum(-1)
30L[0].SetTitle("Legendre polynomials")
31
32for idx, val in enumerate(L):
33 leg.AddEntry(val, " L_{}(x)".format(idx), "l")
34 if idx == 0:
35 val.Draw()
36 else:
37 val.Draw("same")
38
39leg.Draw("same")
40
41
Option_t Option_t TPoint TPoint const char GetTextMagnitude GetFillStyle GetLineColor GetLineWidth GetMarkerStyle GetTextAlign GetTextColor GetTextSize void char Point_t Rectangle_t WindowAttributes_t Float_t Float_t Float_t Int_t Int_t UInt_t UInt_t Rectangle_t Int_t Int_t Window_t TString Int_t GCValues_t GetPrimarySelectionOwner GetDisplay GetScreen GetColormap GetNativeEvent const char const char dpyName wid window const char font_name cursor keysym reg const char only_if_exist regb h Point_t winding char text const char depth char const char Int_t count const char ColorStruct_t color const char Pixmap_t Pixmap_t PictureAttributes_t attr const char char ret_data h unsigned char height h Atom_t Int_t ULong_t ULong_t unsigned char prop_list Atom_t Atom_t Atom_t Time_t format