from scipy.special import legendre, eval_legendre, eval_sh_legendre
if __name__ == '__main__':
# Legendre
plt.figure(1)
x = np.arange(-1, 1, 0.01)
for n in range(6):
p = eval_legendre(n, x)
plt.plot(x, p)
# Shifted to [0,1] Legendre
plt.figure(2)
x = np.arange(0, 1, 0.01)
for n in range(6):
p = eval_sh_legendre(n, x)
plt.plot(x, p)
# Shifted to [0,A] Legendre
plt.figure(3)
A = 10
f = lambda x: (2./A)*x - 1
x = np.arange(0, A, 0.001)
for n in range(6):
p = eval_legendre(n, f(x))
plt.plot(x, p)
plt.show()
print 'Done'
def shift_legendre(self, n, x):
funct = math.sqrt(2 * n + 1) * sp.eval_sh_legendre(n, x)
return funct