#! /usr/bin/env python
# -*- coding: utf-8 -*-
"""
Représentations des polynômes de Chebyshev avec utilisation de matplotlib et numpy
Références :
http://docs.scipy.org/doc/numpy/reference/routines.polynomials.package.html
http://docs.scipy.org/doc/numpy/reference/routines.polynomials.chebyshev.html
http://docs.scipy.org/doc/numpy/reference/generated/numpy.polynomial.chebyshev.chebval.html
http://docs.scipy.org/doc/numpy/reference/generated/numpy.linspace.html
http://docs.scipy.org/doc/numpy/reference/generated/numpy.ones.html
http://docs.scipy.org/doc/numpy/reference/generated/numpy.zeros.html
http://docs.scipy.org/doc/numpy/reference/generated/numpy.append.html
"""
import numpy as np
import matplotlib.pyplot as plt
from numpy.polynomial.chebyshev import chebval
x = np.linspace(-1, 1, 100)

for n in range(10):
    y = chebval(x,np.append(np.zeros(n),np.ones(1)))
    plt.plot(x,y)

plt.axis([-1,1,-1,1]) # xmin, xmax, ymin, ymax  
plt.title('Polynomes de Tchebyshev')
plt.legend()
plt.show()