#!/usr/bin/env python
# coding: utf-8

# # Legendre
# Example of first few Legendre Polynomials. Inspired by work of Lorenzo Moneta.
# 
# 
# 
# 
# **Author:** Alberto Ferro, Massimiliano Galli  
# <i><small>This notebook tutorial was automatically generated with <a href= "https://github.com/root-project/root/blob/master/documentation/doxygen/converttonotebook.py">ROOTBOOK-izer</a> from the macro found in the ROOT repository  on Wednesday, May 15, 2024 at 09:47 AM.</small></i>

# In[1]:


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")


# Draw all canvases 

# In[2]:


from ROOT import gROOT 
gROOT.GetListOfCanvases().Draw()