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Legendre.py File Reference

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namespace  Legendre
 

Detailed Description

View in nbviewer Open in SWAN 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")
leg.AddEntry(L[0].Draw(), " L_{0}(x)", "l")
leg.AddEntry(L[1].Draw("same"), " L_{1}(x)", "l")
leg.AddEntry(L[2].Draw("same"), " L_{2}(x)", "l")
leg.AddEntry(L[3].Draw("same"), " L_{3}(x)", "l")
leg.AddEntry(L[4].Draw("same"), " L_{4}(x)", "l")
leg.Draw()
th1 Draw()
Author
Alberto Ferro

Definition in file Legendre.py.