Example of first few Legendre Polynomials.
Inspired by work of Lorenzo Moneta.
import ROOT
ROOT.gSystem.Load("libMathMore")
Canvas = ROOT.TCanvas("DistCanvas", "Legendre polynomials example", 10, 10, 750, 600)
Canvas.SetGrid()
leg = ROOT.TLegend(0.5, 0.7, 0.4, 0.89)
L = []
for nu in range(5):
f = ROOT.TF1("L_0", "ROOT::Math::legendre([0],x)", -1, 1)
f.SetParameters(nu, 0.0)
f.SetLineStyle(1)
f.SetLineWidth(2)
f.SetLineColor(nu+1)
L.append(f)
L[0].SetMaximum(1)
L[0].SetMinimum(-1)
L[0].SetTitle("Legendre polynomials")
for idx, val in enumerate(L):
leg.AddEntry(val, " L_{}(x)".format(idx), "l")
if idx == 0:
val.Draw()
else:
val.Draw("same")
leg.Draw("same")
- Author
- Alberto Ferro, Massimiliano Galli
Definition in file Legendre.py.
